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Finding the Third Proportional to 267,550 and 414,096

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Solution

The third proportional to 267,550 and 414,096 is: 640,910.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,550 : 414,096 = 414,096 : x
  2. Step 2: Convert to fraction form
    267,550/414,096 = 414,096/x
  3. Step 3: Cross multiply
    267,550x = 414,096 × 414,096
  4. Step 4: Simplify right side
    267,550x = 171,475,497,216
  5. Step 5: Solve for x
    x = 171,475,497,216/267,550
  6. Step 6: Final answer
    x = 640,910.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.